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Finding the Third Proportional to 14,412 and 21,722

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Solution

The third proportional to 14,412 and 21,722 is: 32,739.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,412 : 21,722 = 21,722 : x
  2. Step 2: Convert to fraction form
    14,412/21,722 = 21,722/x
  3. Step 3: Cross multiply
    14,412x = 21,722 × 21,722
  4. Step 4: Simplify right side
    14,412x = 471,845,284
  5. Step 5: Solve for x
    x = 471,845,284/14,412
  6. Step 6: Final answer
    x = 32,739.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.